GAASU Quest V — Proof Pack v1.0: H_align ⇒ Continuation (3D Navier–Stokes, R^3)
Abstract
Description (paste-ready) This record provides an audit-ready Proof Pack (v1.0) for a limited, conditional claim in the 3D incompressible Navier–Stokes setting on R^3. Scope (No Overclaim). This record does not claim a general solution to the Millennium Problem by default, and it does not claim global regularity for arbitrary initial data. Claim v1.0 (Conditional Continuation Closure). Let u be a smooth Navier–Stokes solution on R^3 x [0,T). Assume the Hero subclass hypothesis H_align holds on [0,T): with omega := curl u and xi := omega/|omega| on omega != 0, fix a constant M > 0 and define Omega_M(t) := {x in R^3 : |omega(x,t)| > M}. Assume there exists L(t) >= 0 such that ||grad xi(.,t)||_{inf,Omega_M(t)}
Fields of Study & Subjects
Navier-Stokes equation solutions
Nonlinear Partial Differential Equations
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 18 January 2026
- Language
- EN
- Document type
- Preprint